Applications of Elliptic and Theta Functions to Friedmann-Robertson-Lemaitre-Walker Cosmology with Cosmological Constant

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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from lectures of MSRI summer graduate workshop: A Window into Zeta and Modular Physics, June 16, 2008 to June 27, 2008

Scientific paper

Elliptic functions are known to appear in many problems, applied and theoretical. However, a lesser known application is in the study of exact solutions to Einstein's gravitational field equations in a Friedmann-Robertson-Lemaitre-Walker (FRLW) cosmology. We will show explicitly how Jacobi and Weierstrass elliptic functions arise in this context, and will additionally show connections with theta functions.

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